High Energy DIS after HERA?… The LHeC Project (Ee=140GeV and Ep=7TeV) Paul Newman (Birmingham University) Southampton Seminar 18 June 2010 … work in progress from ECFA/CERN/NuPECC workshop on ep/eA physics possibilities.

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Transcript High Energy DIS after HERA?… The LHeC Project (Ee=140GeV and Ep=7TeV) Paul Newman (Birmingham University) Southampton Seminar 18 June 2010 … work in progress from ECFA/CERN/NuPECC workshop on ep/eA physics possibilities.

High Energy DIS
after HERA?…
The LHeC Project
(Ee=140GeV and Ep=7TeV)
Paul Newman
(Birmingham University)
Southampton Seminar
18 June 2010
… work in progress from
ECFA/CERN/NuPECC
workshop on ep/eA physics
possibilities at the LHC
http://cern.ch/lhec
Overview
LHeC is the latest and most promising attempt to take ep
Physics into the TeV centre-of-mass scale …
- Status of ep Physics after HERA
- How to build an ep Collider using the LHC
- Physics motivation
- BSM physics
- Precision QCD / EW
- Low x / high parton densities
- Detector considerations
- Timeline and outlook
Basic Deep Inelastic Scattering Processes
Neutral
Current
Q2 = -q2
(q)
Charged
Current
(q)
:resolving power of interaction
x = Q2 / 2q.p : fraction of struck quark / proton momentum
Collage of
“Text-Book”
HERA Plots
HERA’s most famous legacy
Parton densities of
proton in an x range
well matched to the
LHC rapidity plateau 
Some limitations:
- Insufficient lumi
for high x precision
- No deuterons …
u and d not separated
- No heavy ions
- No time to fully
explore new concepts
like GPDs, DPDFs,
unintegrafed PDFs
• H1/ZEUS/joint publications still coming for 1-2 years
• Further progress requires higher energy and luminosity …
HERA-LHC Workshop … (see also PDF4LHC)
(270 participants)
(150 participants)
Workshop on the implications
of HERA for the LHC
(partons, jets, heavy flavours,
diffraction, MC tools …)
807 pages!
(March 2009)
(160 participants)
(190 participants)
Currently Approved Future of High
Energy DIS
Some LHeC Context
The LHeC is not the
first proposal for
TeV scale DIS, but it
is the first with the
potential for significantly
higher luminosity
than HERA …
… achievable with a new electron
accelerator at the LHC …
[JINST 1 (2006) P10001]
The Electron-Ion Collider (BNL / Jlab)
e.g. 10 GeV e+/- and 250 GeV polarised p/A
- Limited in energy  but 100 times HERA luminosity
- Polarised hadrons  spin  long-term successor to
HERMES, COMPASS?…
- Heavy ions  huge step forward for eA kinematic range
[More info at http://web.mit.edu/eicc]
LHC is the future of the high energy frontier!
“… the LHeC is already
half built” [J Engelen]
Can its unprecedented energy and
intensity be exploited for DIS?
“… it would be a waste
not to exploit the 7TeV
beams for ep and eA
physics at some stage
during the LHC time”
[G. Altarelli]
How Could ep be Done using LHC?
… whilst allowing simultaneous ep and pp running …
RING-RING
LINAC-RING
• First considered (as LEPxLHC)
in 1984 ECFA workshop
• Previously considered as `QCD
explorer’ (also THERA)
• Main advantage: high peak
lumi obtainable (~3.1033 cm-2 s-1)
• Main advantages: low interference
with LHC, high Ee ( 150 GeV?) and
lepton polarisation, LC relation
• Main difficulties: building
round existing LHC, e beam
energy (60GeV?) and lifetime
limited by synchrotron radiation
• Main difficulties: lower luminosity
~3.1032 cm-2 s-1 (?) at reasonable
power, no previous experience exists
Accelerator
Design
Multi-Institute / Lab
Involvement
Novosibirsk, BNL, CERN
Cockcroft, Cornell, DESY,
EPFL Lausanne, KEK,
Liverpool, SLAC, TAC Turkey
• Design constraints of
simultaneous ep and pp running,
power consumption < 100 MW
• 100 fb-1 at Ee = 60 GeV
looks to be possible with a
few years running
The Luminosity v Acceptance Question
• As for HERA-I v HERA-II, low b focusing beam elements
around interaction region can improve lumi by a factor ~10
• However, acceptance near beam-pipe is compromised
 loss of low x / Q2 acceptance
 loss of high Meq acceptance
 poorer HFS measurements
Beam Scenarios for First Physics Studies
Several scenarios under study … see later for justification
ep Studies based on a 20-150 GeV electron beam
and lumi of 1-10 fb-1 / year
Scenario for Experimental Precision
Requirements to reach a per-mille as (c.f. 1-2% now) …
[Klein, Kluge …]
The new collider …
- should be ~100 times more luminous than HERA
The new detector
- should be at least 2 times better than H1 / ZEUS
Lumi = 1033 cm-2 s-1
Acceptance 10-170o (179o?)
Tracking to 0.1 mrad
EM Calorimetry to 0.l%
Had calorimtry to 0.5%
Luminosity to 0.5%
(HERA 1-5 x 1031 cm-2 s-1)
(HERA 7-177o)
(HERA 0.2 – 1 mrad)
(HERA 0.2-0.5%)
(HERA 1%)
(HERA 1%)
First `pseudo-data’ for F2, FL, F2D …produced on this basis …
Kinematics & Motivation (140 GeV x 7 TeV)
New physics on
scales ~10-19 m
Large x
partons
High precision
partons in LHC
plateau
High
Density
Matter
Nuclear
Structure
& Low x
Parton
Dynamics
s  2 TeV
• High mass (Meq,
Q2) frontier
• EW & Higgs
• Q2 lever-arm
at moderate &
high x  PDFs
• Low x frontier
 novel QCD …
x  107 at
2
2
Q  1 GeV
Searches For New Physics
• The (pp) LHC has better discovery potential than the
LHeC in the majority of scenarios (and is already running!)
• However, LHeC is competitive with (or better than) LHC
in cases where initial state lepton is an advantage
… and who knows what will happen – nature may hold surprises!
Searches For New Physics
• The (pp) LHC has better discovery potential than the
LHeC in the majority of scenarios (and is already running!)
• However, LHeC is competitive with (or better than) LHC
in cases where initial state lepton is an advantage
… and who knows what will happen – nature may hold surprises!
Lepton-quark Bound States
• Leptoquarks appear in many extensions
to SM… explain apparent symmetry
between lepton and quark sectors.
• Scalar or Vector color triplet bosons carrying
L, B and fractional Q, complex spectroscopy?
• (Mostly) pair produced in pp,
single production in ep.
• LHeC sensitivity (to ~1.5 TeV)
similar to LHC, but can determine
quantum numbers / spectroscopy
(fermion #, spin, chiral couplings …)
Yukawa
coupling, l
(Zarnecki)
(10 fb-1)
LHeC
LHC
pair
prod
Rp Conserving
Supersymmetry
 in pb, e- p
 in pb, e+ p
(Perez)
e
q
~
e
0
~
q
Pair production via
t-channel exchange of
a neutralino.
Cross-section sizeable
for SM < 1 TeV
i.e. if squarks are
“light”, could observe
selectrons up to
~ 500 GeV, a little
beyond LHC?
Excited
Leptons
[Sauvan, Trinh]
LHeC gives best
sensitivity in this
scenario …
Complementarity between LHC and LHeC
Contact interaction term introduced in
LHC pseudo-data for high mass Drell-Yan
[Perez]
• Even if new physics looks rather different from SM, wide
range of high x BSM effects can be accomodated in DGLAP
fits due to poor current high x PDF constraints
• Better high x precision at high lumi LHeC could disentangle …
Higgs Production
[U Klein,
Kniehl,
Perez,
Khuze]
Sizeable CC (WW) x-section
~ few thousand events
Strongly dependent on mH
 Novel production mechanism
 Clean(ish) … H + j + ptmiss
 bbbar coupling to light H?
Forward acceptance is an issue
First background studies (jets
in CC) underway …
LHeC Impact on High x Partons
[Kluge, Perez, Klein]
Full NC/CC sim (with systs giving per mille as ) & NLO
DGLAP fit using HERA technology…
… full flavour decomposition possible
… high x pdfs  may help clarify LHC discoveries through
interpretation of new states?
[Some of highest x improvement from paramn extrapolation]
PDFs & EW Couplings
[Gwenlan]
Using ZEUS fitting code, HERA +
LHeC data … EW couplings free
Ee = 100 GeV, L = 10+5 fb-1, P = +/- 0.9
ZEUS
Cross Sections and Rates for Heavy Flavours
HERA
Charm
[Behnke]
27.5 x 920
Beauty
cc
sW-> c
bW->top
ttbar
c.f. luminosity of ~10 fb-1 per year …
Flavour Decomposition
High precision c, b measurements
(modern Si trackers, beam
spot 15 * 35 m2 , increased
HF rates at higher scales).
Systematics at 10% level
beauty is a low x observable!
s (& sbar) from charged current
 Similarly Wb  t?
b
LHeC 10o acceptance
s
LHEC 1o acceptance
[Mehta, Klein]
(Assumes 1 fb-1 and
- 50% beauty, 10%
charm efficiency
- 1% uds  c
mistag probability.
- 10% c  b mistag)
Low-x Physics and Non-linear Evolution
• Somewhere & somehow, the low x growth of cross sections
must be tamed to satisfy unitarity … non-linear effects
• Dipole model language  projectile qq multiply interacting
• Parton level language  recombination gg  g?
• Usually characterised in terms of an x dependent
“saturation scale”, Q2s(x), to be determined experimentally
Non-linear effects in
HERA and eA Data?
Something appears to happen
around t = Q2/Q2s = 1 GeV2
(confirmed in many analyses)
BUT … Q2 small for t <~ 1 GeV2
… not easily interpreted in QCD
Lines of constant ‘blackness’
diagonal … scattering cross
section appears constant
along them … “Geometric
Scaling”
Strategy for making the target blacker
LHeC delivers a 2-pronged approach:
Enhance target `blackness’ by:
1) Probing lower x at fixed Q2 in ep
[evolution of a single source]
2) Increasing target matter in eA
[overlapping many sources at fixed kinematics … density ~
A1/3 ~ 6 for Pb … worth 2 orders of magnitude in x]
30
Basic Inclusive Kinematics / Acceptance
Access to Q2=1 GeV2 in ep mode
for all x > 5 x 10-7 IF we have
acceptance to 179o (and @ low Ee’)
Nothing fundamentally new in
LHeC low x physics with q<170o
… low x cross sections are large!
… luminosity in all realistic
scenarios ample for most
low x measurements
Some models of low x F2 with LHeC Data
With 1 fb-1 (1 year at 1033 cm-2 s-1), 1o detector:
stat. precision < 0.1%, syst, 1-3%
[Forshaw, Klein, PN, Soyez]
Precise data in LHeC
region, x > ~10-6
- Extrapolated HERA
dipole models …
- FS04, CGC models
including saturation
suppressed at low x &
Q2 relative to non-sat
FS04-Regge
… new effects may not be easy
to see and will certainly need
low Q2 (q  179o) region …
FL Simulation
Vary proton beam energy
as recently done at HERA ?…
‘direct’ gluon measurement …
Ep (TeV)
---------7
4
2
1
[0.45
Lumi (fb-1)
----------1
0.8
0.2
0.05
0.01]
… precision typically 5%
… stats limited for
Q2 > 1000 GeV2
… could also vary Ee …
… selected lowest x data
compared with 3 dipole
models including saturation …
[Forshaw, Klein, PN, Soyez]
Extrapolating HERA models of F2 (Albacete)
NNPDF NLO DGLAP uncertainties explode @ low x and Q2
Formally, wide range of possibilities allowed, still fitting HERA
• ‘Modern’ dipole models, containing saturation effects & low x
behaviour derived from QCD give a much narrower range
• c.f. 2% errors on LHeC F2 pseudo-data, 8% on FL pseudo-data
… we should be able to distinguish …
Fitting for the Gluon with LHeC F2 and FL
(Gufanti, Rojo …)
HERA + LHeC F2
HERA + LHeC F2, FL
(Q2 = 2 GeV2)
Including LHeC data in NNPDF DGLAP fit approach …
… sizeable improvement in error on low x gluon when both
LHeC F2 & FL data are included.
… but would DGLAP fits fail if non-linear effects present?
Can Parton Saturation be Established in ep @ LHeC?
Simulated LHeC F2 and FL data based on a dipole model
containing low x saturation (FS04-sat)…
… NNPDF (also HERA framework) DGLAP QCD fits cannot
accommodate saturation effects if F2 and FL both fitted
[Rojo]
Conclusion: clearly establishing non-linear effects needs a
minimum of 2 observables … (F2c may work in place of FL)…
What is Initial State of LHC AA Collisions?
Gluons from saturated nuclei  Glasma?

• Very limited x, Q2 and A range
for F2A so far (unknown for
x <~ 10-2, gluon very poorly
constrained)
• LHeC extends kinematic
range by 3-4 orders of
magnitude with very large A
QGP

Reconfinement
[d’Enterria]
Current Knowledge: Nuclear Parton Densities
Ri = Nuclear PDF i / (A * proton PDF i)
First Study of Impact of e-Pb LHC data
[Paukkunen,
Armesto …
in progress]
• Striking effect on quark sea and gluons in particular
• High x gluon uncertainty remains large
• Now working on flavour decomposition
39
What about Diffraction?
Additional variable t gives access
to impact parameter (b)
dependent amplitudes
Large t (small b) probes densest
packed part of proton?
c.f. inclusive scattering probes median
b~2-3 GeV-1
Dipole Model of J/y Photoproduction
e.g. “b-Sat” Dipole model
[Golec-Biernat, Wuesthoff,
…
“eikonalised”: with impact-parameter
dependent saturation
“1 Pomeron”: non-saturating
Bartels, Teaney, Kowalski, Motyka, Watt]
[Watt]
[2 years in low x configuration]
• Significant non-linear
effects expected
even for t-integrated
cross section in LHeC
kinematic range.
• Data shown are
extrapolations of
HERA power law fit
for Ee = 150 GeV…
 Satn smoking gun?
Elastic J/y Production more Differentially
J/y photoproduction
double differentially
in W and t …
Cross sec probes
to xg ~ 6.10-6
Q2 ~ 3 GeV2 ~ my2/4
Ee = 50 GeV, 1o acceptance, L=2 fb-1
Precise t dependence
will help to reveal
satn effects!
Also possible in
several Q2 bins and
for Upsilon, DVCS …
Inclusive Diffraction
Additional variables …
xIP = fractional momentum
loss of proton
(momentum fraction IP/p)
b = x / xIP
(momentum fraction q / IP)
 Further sensitivity to saturation phenomena
 Diffractive parton densities in much increased range
 Sensitivity to rapidity gap survival issues
 Can relate ep diffraction to eA shadowing
… Control for interpretation of inclusive eA data
Diffractive Kinematic Plane at LHeC
• Higher Ee yields acceptance at higher Q2 (pQCD),
lower xIP (clean diffraction) and b (low x effects)
• Similar to inclusive case, 170o acceptance kills most of plane
Simulated Diffractive DIS Data
• 5-10% data, depending on detector
• DPDFs / fac’n in much bigger range
• Enhanced parton satn sensitivity?
• Exclusive production of any 1– state
with Mx up to ~ 250 GeV
 X including W, Z, b, exotics?
[Forshaw,
Marquet,
PN]
1o acceptance,
2 fb-1
F2D and Nuclear
Shadowing
Nuclear shadowing can be
described (Gribov-Glauber) as
multiple interactions, starting
from ep DPDFs
[Capella, Kaidalov et al.]
[Diff DIS]
[eA
shadowing]
… starting point for
extending precision
LHeC studies into
eA collisions
First Detector Concepts – Low x Optimised
217
250
250
177
217
[cm]
HaC-Barrel-bwd
HaC-Barrel-fwd
40
250
EmC-Endcap-bwd
Bwd Tracking
Fwd Tracking
EmC-fwd
EmC-Barrel
EmC-insert-½-bwd
EmC-bwd
10⁰ and 170⁰
177
5⁰ and 175⁰
4⁰ and 176⁰
3⁰ and 177⁰
2⁰ and 178⁰
1⁰ and 179⁰
Central Tracking
HaC-insert-½-fwd
HaC-insert-½-bwd
20
40
60
112
40
EmC-insert-½-fwd
EmC-Endcap-fwd
[17m x 10m (smaller than ATLAS / CMS)]
289
Solenoid+Dipole
• Full angular coverage, long tracking region  1o
• Dimensions determined by synchrotron radiation fan
• Modular
Low material budget
High precision
• Technologies under discussion (lots of ideas!)
First Detector Concepts – High Q2 Optimised
217
250
250
250
[cm]
HaC-Barrel-bwd
HaC-Barrel-fwd
EmC-Endcap-bwd
40
177
217
EmC-Barrel
EmC-insert-½-bwd
177
10⁰ and 170⁰
5⁰ and 175⁰
4⁰ and 176⁰
3⁰ and 177⁰
2⁰ and 178⁰
1⁰ and 179⁰
HaC-insert-½-fwd
Central Tracking
HaC-insert-½-bwd
20
40
60
112
EmC-insert-½-fwd
EmC-Endcap-fwd
Low Beta Magnet
40
Low Beta Magnet
+ MagCal
+ MagCal
289
Solenoid+Dipole
• Sacrifice low angle acceptance to beam focusing magnets
• Calorimeter inserts slide inwards
• 2 phases of operation a la HERA?
• Alternatively 2 interaction points (RR only)?
Schedule and Remarks
• Aim to start operation by 2020/22 [new phase of LHC]
 cf HERA: Proposal 1984 – Operation 1992.
LEP: Proposal 1983 – Operation 1989
• The major accelerator and detector technologies exist
• Cost is modest in major HEP project terms
• Steps: Conceptual Design Report, early 2011
Evaluation within CERN / European PP/NP
strategy
If positive, more professional effort torward a
Technical Design Report 2013/14
• In an optimistic long term perspective, a 140 GeV electron
linac beam coupled with a 16 TeV Super-LHC’ beam would
-7
Summary
• LHC is a totally new world of
•energy and luminosity! LHeC
proposal aims to exploit it for
TeV lepton-hadron scattering
… ep complementing next
generation pp, ee facilities
• Ongoing ECFA/CERN/NuPECC
workshop has gathered many
accelerator, theory &
experimental colleagues
… still lots to do, even for CDR!
• Next major workshop planned for October ’10 .All ideas and
involvement welcome!
[More at http://cern.ch/lhec]
Back-Ups Follow
The TeV Scale [2010-2035..]
pp
W,Z,top
Higgs??
New Particles??
New
Symmetries?
LHC
ep
High Precision QCD
High Density Matter
Substructure??
eq-Spectroscopy??
LHeC
New Physics
e+ettbar
Higgs??
Spectroscopy??
ILC/CLIC
CKM - superB
Working Group Convenors
Scientific Advisory Committee
Organisation
for the CDR
Guido Altarelli (Rome)
Sergio Bertolucci (CERN)
Stan Brodsky (SLAC)
Allen Caldwell -chair (MPI Munich)
Swapan Chattopadhyay (Cockcroft)
John Dainton (Liverpool)
John Ellis (CERN)
Jos Engelen (CERN)
Joel Feltesse (Saclay)
Lev Lipatov (St.Petersburg)
Roland Garoby (CERN)
Roland Horisberger (PSI)
Young-Kee Kim (Fermilab)
Aharon Levy (Tel Aviv)
Karlheinz Meier (Heidelberg)
Richard Milner (Bates)
Joachim Mnich (DESY)
Steven Myers, (CERN)
Tatsuya Nakada (Lausanne, ECFA)
Guenther Rosner (Glasgow, NuPECC)
Alexander Skrinsky (Novosibirsk)
Anthony Thomas (Jlab)
Steven Vigdor (BNL)
Frank Wilczek (MIT)
Ferdinand Willeke (BNL)
Accelerator Design [RR and
LR]
Oliver Bruening (CERN),
John Dainton (CI/Liverpool)
Interaction Region and
Fwd/Bwd
Bernhard Holzer (DESY),
Uwe Schneeekloth (DESY),
Pierre van Mechelen
(Antwerpen)
Steering Committee
Detector Design
Peter Kostka (DESY),
Rainer Wallny (UCLA),
Oliver Bruening
(CERN)
John Dainton
(Cockcroft)
Albert DeRoeck
(CERN)
Stefano Forte
(Milano)
Max Klein - chair (Liverpool)
Paul Laycock (secretary) (L’pool)
Paul Newman (Birmingham)
Emmanuelle Perez
(CERN)
Wesley Smith
(Wisconsin)
Bernd Surrow
(MIT)
Katsuo Tokushuku
(KEK)
Urs Wiedemann
(CERN))
Frank Zimmermann (CERN)
Alessandro Polini (Bologna)
New Physics at Large Scales
George Azuelos (Montreal)
Emmanuelle Perez (CERN),
Georg Weiglein (Durham)
Precision QCD and
Electroweak
Olaf Behnke (DESY),
Paolo Gambino (Torino),
Thomas Gehrmann (Zuerich)
Claire Gwenlan (Oxford)
http://cern.ch/lhec
Physics at High Parton
Densities
Nestor Armesto (Santiago),
Brian Cole (Columbia),
Heavy Quarks: HERA  LHC
• HERA HF information limited by kinematic range and lumi
(reasonable charm, some beauty, almost no strange)
• Crucial for understanding LHC initial state for new
processes (e.g. bbbar->H) and backgrounds.
Higgs
<-SM
MSSM->
• LHC predictions rely strongly on extrapolations and pQCD
(e.g. CTEQ: 7% effect on W,Z rates varying HF treatment).
 pn  3.8m
Luminosity: Ring-Ring
N p  1.7 1011
N p
Ie
I
m
L

 8.31032  e
cm2s1
4e pn b px b py
50mA b px b pn
 p(x,y )   e(x,y )
b px  1.8m
b py  0.5m
4
P 100GeV 
Ie  0.35m A


MW
E


e

 Ie = 100 mA
1033
likely klystron
installation limit
Synchrotron rad!

1033 can be reached in RR
Ee = 40-80 GeV & P = 5-60 MW.
HERA was 1-4 1031 cm-2 s-1
huge gain with SLHC p beam
F.Willeke in hep-ex/0603016:
Design of interaction region
for 1033 : 50 MW, 70 GeV
May reach 1034 with ERL in
bypasses, or/and reduce power.
R&D performed at BNL/eRHIC
cf also A.Verdier 1990, E.Keil 1986
Luminosity: Linac-Ring
 pn  3.8m
P
P / MW
N p
32
2 1
L


110

cm
s
4e pn b * E e
E e /GeV

N p  1.7 1011
b *  0.15m
Ie  100m A

 Ie = 100 mA
LHeC as Linac-Ring version
 can be as luminous as HERA II:
High cryo load to CW cavities
s  2TeV

P GeV

MW E e
4 1031 can be reached with LR:
Ee = 40-140 GeV & P=20-60 MW
LR: average lumi close to peak
140 GeV at 23 MV/m is 6km +gaps
Luminosity horizon: high power:
ERL (2 Linacs?)
Geometric Scaling at the LHeC
LHeC reaches
t ~ 0.15 for
Q2=1 GeV2 and
t ~ 0.4 for
Q2=2 GeV2
HERA
Limit for
Q2>2 GeV2
Some (though
limited) acceptance
for Q2 < Q2s with Q2
“perturbative’’
Could be enhanced
with nuclei.
(1 fb-1)
Q2 < 1 GeV2 accessible
in special runs?
Azimuthal (de)correlations between Jets
[Jung]
Forward Instrumentation and Jets
[Jung]
x range (and sensitivity to
novel QCD effects) strongly
depend on q cut
Similar conclusions for Df
decorrelations between jets
High x Partons Limiting LHC Searches
Some BSM scenarios give deviations in high mass
dijet spectra … e.g. a model with extra dimensions …
S. Ferrag,
hep-ph/0407303
… in this example, high x PDF uncertainties reduce sensitivity
to compactification scales from 6 TeV to 2 TeV for 2XDs
 Structure with Leading Neutrons
[Bunyatyan]
(RAPGAP
MC model,
Ep=7TeV,
Ee=70GeV)
• With qn < 1 mrad, similar xL and
pt ranges to HERA (a bit more
pt lever-arm for  flux).
• Extentions to lower b and higher
Q2 as in leading proton case.  F2
At b<5.10-5 (cf HERA reaches b~10-3)
(y=0.02)
(qe=175o)
(y=1)
Also relevant to absorptive corrections, cosmic ray physics …
Is HERA Finished? – H1 high pt Summary
… perhaps yes for
searches …
• No significant BSM
signals
• Detectors and
physics processes
well understood!
The Standard Model & HERA part as good friends!
HERA Input to LHC
• Unprecedented low x and
high Q2 coverage in DIS
• HERA + QCD factorisation
parton densities in full x
range of LHC rapidity plateau
DGLAP
• Well established `DGLAP’
evolution equations generalise
to any scale (for not too small x)
e.g. pp dijets at central
rapidity: x1=x2=2pt / s
LHeC Kinematics for Low x Investigations
Access to Q2=1 GeV2
in ep mode for all
x > 5 x 10-7 IF we have
acceptance to 179o
Without low b magnets
~ 1 fb-1 / yr ample for most
low x studies … definitive
low x facility!
parton saturation
novel QCD evolution
Relations to confinement?
…
Strong Coupling Constant
Simulation of as measurement at LHeC
1/a
as least known of coupling constants
Grand Unification predictions suffer from as
fine structure
DIS tends to be lower than world average
weak
LHeC: per mille accuracy indep. of BCDMS.
Challenge to experiment and to h.o. QCD
strong
MSSM - B.Allnach et al, hep-ex/0403133
?
+pol
J.Bluemlein and H. Boettcher, arXiv 1005.3013 (2010)
Can DGLAP adjust to fit LHeC sat models?
[Forshaw, Klein, PN, Perez]
• Attempt to fit ZEUS and LHeC saturated pseudo-data in
increasingly narrow (low) Q2 region until good fit obtained
• Use dipole-like (GBW) gluon parameterisation at Q02
Q2 = 2 GeV2
Q2 = 10 GeV2
Q2 = 5 GeV2
l





x
C
2
2
xg (x, Q0 ) = Ag 1  exp  Bg log     (1  x) g


 x0   

Q2 = 20 GeV2
• Fitting F2 only, a good fit
cannot be obtained beyond
the range 2 < Q2 < 20 GeV2
• This fit fails to describe FL
Q2 = 2 GeV2
Q2 = 50 GeV2
(even faster
failure with
CGC LHeC
pseudo-data)
Q2 = 5 GeV2
A high x Detector Acceptance Consideration
• Considerably more asymmetric beam energies than HERA!
- Hadronic final state at newly accessed lowest x
values goes central or backward in the detector 
- As x grows at fixed Q2, hadronic final state is boosted
more and more in the forward direction … and hadrons
are needed for good kinematic reconstruction as x gets
large & electron method resolution deteriorates
• Ideally need sensitivity to energy flow in outgoing proton
direction for hadrons to ~1o
2.2 ctd) eA models compared with pseudodata
[Armesto, Tywoniuk … in progress]
EPS09 bands reasonable estimates, but no direct constraints
LHeC pseudodata show F2 would give a first real and strong
constraint on nuclear F2 ratio At low x
FL data also studied
68
Developing a Combined Function “Magcal”?
[Greenshaw]
… also potentially interesting for
medical physics and elsewhere?
… could even think of doing the
same with solenoids / toroids?
Use scintilation
of liquid He to
get signal?…
… Calo is all edges!…
 What sort of
resolution is
achievable?
What is influence
on final beam focus?
 …?
LHeC J/y & U Photoproduction Simulation
• Simulated data with heavy vector meson decays to .
• Detector acceptance to within 1o of beampipe,
• Lumi = 2 fb-1 (2 years)
Ee = 50 GeV
 p  J/y p
pUp
Precise measurements (even for U) well into sensitive region
e.g. NNPDF study of low Q2 NLO DGLAP
• Fit HERA data in limited regions above lines of Q2 > Ax-0.3
 backwards evolve to lower scales and compare 2
• Signed pulls show backward evolution consistently above data
… something happens, but
not easily interpreted …
71
Parton Saturation after HERA?
e.g. Forshaw, Sandapen, Shaw
hep-ph/0411337,0608161
… used for illustrations here
Fit inclusive HERA data
using dipole models
with and without parton
saturation effects
FS04 Regge (~FKS): 2 pomeron model, no saturation
FS04 Satn: Simple implementation of saturation
CGC: Colour Glass Condensate version of saturation
• All three models can describe data with Q2 > 1GeV2, x < 0.01
• Only versions with saturation work for 0.045 < Q2 < 1 GeV2
… any saturation at HERA not easily interpreted partonically
Reminder : Dipole models
• Unified description of low x region, including region where
Q2 small and partons not appropriate degrees of freedom …

T ,L
 *p
( x, Q ) 
2
 dz d r
2
y
T ,L
*
2
( z, r, Q )  dipole ( x, r, z)
2
• Simple unified picture of many inclusive and exclusive
processes … strong interaction physics in (universal) dipole
cross section dipole. Process dependence in wavefunction
 Factors
• qqbar-g dipoles also needed to describe inclusive diffraction
Forward and Diffractive Detectors
• Very forward tracking / calorimetry with good resolution …
• Proton and neutron spectrometers …
• Reaching xIP = 1 - Ep’/Ep
= 0.01 in diffraction with
rapidity gap method requires
hmax cut around 5 …forward
instrumentation essential!
• Roman pots, FNC should
clearly be an integral part.
- Also for t measurements
- Not new at LHC 
- Being considered
integrally with
interaction region
hmax from LRG selection …
DVCS at LHeC
[Favart, Forshaw, PN]
(stat errors only)
(1o acceptance)
Statistical precision
with 1fb-1 ~ 2-11%
With F2, FL, DVCS
could help establish
saturation and
distinguish between
different models
which contain it?
HERA
Cleaner interpretation
in terms of GPDs at
larger LHeC Q2 values